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Finding the Fourth Proportional to 13,464.77, 18,585.56 and 9,214.22

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Solution

The fourth proportional to 13,464.77, 18,585.56 and 9,214.22 is: 12,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.77 : 18,585.56 = 9,214.22 : x
  2. Step 2: Convert to fraction form
    13,464.77/18,585.56 = 9,214.22/x
  3. Step 3: Cross multiply
    13,464.77x = 18,585.56 × 9,214.22
  4. Step 4: Simplify right side
    13,464.77x = 171,251,508.16
  5. Step 5: Solve for x
    x = 171,251,508.16/13,464.77
  6. Step 6: Final answer
    x = 12,718.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.